Mrs. Glosser's Math Goodies
Perimeter & Area Worksheet 3
There are many different polygons, so give your learners a learning exercise that practices area and perimeter on the various shapes. This full-page learning exercise includes problems with hexagons, trapezoids, squares, parallelograms,...
Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Savvas Learning
Area of Squares and Rectangles, Alternative Lesson
Find the area of squares and rectangles and discuss square inches and square centimeters with your young geometers. Follow the example provided, and then let learners try it for themselves! They will find the area of seven rectangles.
Curated OER
Scale Drawing: Perimeter and Area of a Room
Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...
Curated OER
Area and Perimeter of Gardens
Learners read two word problems, observe diagrams of four gardens, and find the areas and perimeters. Pupils solve four questions.
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
EngageNY
Solving Area Problems Using Scale Drawings
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
Virginia Department of Education
Surface Area of a Rectangular Prism
Wrap up a activity on surface area with a resource that asks scholars to use the idea of wrapping paper to investigate surface area. They draw representations of rectangular prisms on graph paper to find the areas of the respective...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula.
Mathed Up!
Area of Compound Shapes
Scholars learn how to determine the area of compound shapes by finding the areas of the basic shapes that make it up. Pupils find the areas by adding areas together or subtracting them.
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
Curated OER
Finding the Area of Polygons
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
Doing Maths
Area of Various Shapes
Find the area of triangles, rectangles, and parallelograms using this metric activity.
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Virginia Department of Education
Area and Perimeter
Develop a strategy for finding the area and perimeter of irregular figures. Building on an understanding of finding area and perimeter of rectangles and triangles, learners apply the same concepts to composite figures. After practicing...
Balanced Assessment
Fermi Area
Discover creative ways to use surface area formulas. In the assessment task, scholars apply estimation strategies to determine surface area in non-routine problems. They consider surface area of kitchen sponges, rock salt crystals, and...
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
National Sailing Hall of Fame
Sail Area Calculations
Do bigger sails mean that the sailboat goes faster? Middle and high schoolers compare sailboats, and learn that simply calculating sail area is not enough. A slideshow presentation demonstrates how to calculate the Sail Area to...
Mathed Up!
Area of Sector and Length of Arcs
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...
Education Development Center
Area Model Factoring
Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...
Curated OER
Calculate the Area of Shaded Squares
How can you find the area of a shape? Two shapes are provided on this simple worksheet which asks learners to find the area of the shapes. It's not as hard as it looks! You just have to count the squares! Before telling your pupils this...
Curated OER
Calculate Area Using Pi
Geometers find the area of four circles given their circumferences. Circumference is presented in the form of "numeral (diameter) x pi"; the answer key shows solutions as "numeral (radius squared) x pi," so computation is limited to...
Curated OER
Area of Parallelogram Worksheet - Word Version
In this area of parallelograms worksheet, students find the area of parallelograms where the base and height are given. Students complete 4 problems.
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